Probability Theory

1. Auflage 2019
ISBN: 978-1-84821-402-6
Verlag: Wiley

Buch, Englisch, Format (B × H): 177 mm x 254 mm

Utilizing heuristics to present some fundamentals of probability theory, this book discusses the ideas and concepts common to all random problems. It provides readers with the elementary basis of calculation of probabilities so that it can solve the vast majority of problems it encounters in signal processing, then brings the reader to a more precise knowledge of the theory of measure and Lebesgue integration from the limitations of the tools proposed.

Autoren/Hrsg.

Sintes, Christophe

Pastor, Dominique

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Technische Wissenschaften Elektronik | Nachrichtentechnik Nachrichten- und Kommunikationstechnik Signalverarbeitung

Inhaltsverzeichnis

Part 1. Random and Formalism

1. Lebesgue integral of real functions

2. Notion of random experience

3. Elementary discrete probabilistic models

4. Non-elementary discrete probabilistic models

5. Probabilisables spaces and probabilistic

Part 2. Probabilistic space and random variables

6. Real random variables

7. Real discrete random variables and absolutely continuous

8. Couple of real expenditures random variables

9. Esperance of random variables

10. Variance and standard deviation

11. Transfer theorem, moments and characteristic function

12. Examples of laws

13. Independence and decorrelation

14. conditioning

15. random vectors

Part 3. Conditioning and Independence

Appendices